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Question

Find the roots of the equations by the method of completing the square.
x210x+9=0

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Solution

x210x+9=0
Here, a=1,b=10,c=9
x210x=9
Now, (b2)2=(102)2=25
Adding 25 on both sides,
x210x+25=9+25
(x5)2=16
x5=±4
x5=4 and x5=4
x=9 and x=1

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Solving QE by Completing the Square
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